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Finding the Fourth Proportional to 503.43, 695.11 and 434.23

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Solution

The fourth proportional to 503.43, 695.11 and 434.23 is: 599.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.43 : 695.11 = 434.23 : x
  2. Step 2: Convert to fraction form
    503.43/695.11 = 434.23/x
  3. Step 3: Cross multiply
    503.43x = 695.11 × 434.23
  4. Step 4: Simplify right side
    503.43x = 301,841.10
  5. Step 5: Solve for x
    x = 301,841.10/503.43
  6. Step 6: Final answer
    x = 599.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.